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\(\frac{5}{6}.\frac{8}{7}+\frac{5}{7}.\frac{2}{3}\)
\(=\frac{5}{7}.\frac{8}{6}+\frac{5}{7}.\frac{2}{3}\)
\(=\frac{5}{7}\left(\frac{8}{6}+\frac{2}{3}\right)\)
\(=\frac{5}{7}\left(\frac{8}{6}+\frac{4}{6}\right)\)
\(=\frac{5}{7}.2=\frac{10}{7}\)

quy đồng mẫu số : 3/8 = 9/24 1/6=4/24
15/24 -9/24-4/24=2/24
\(\frac{15}{24}\)- \(\frac{3}{8}\)-\(\frac{1}{6}\)=\(\frac{15}{24}\)-\(\frac{9}{24}\)-\(\frac{4}{24}\)
= \(\frac{15-9-4}{24}\)= \(\frac{2}{24}\)=\(\frac{1}{12}\)

58 x (3\(\frac{1}{29}\) - 2\(\frac{1}{58}\)) : \(\frac{1}{3}\)=
58 x 3 x ((3 - 2) + (\(\frac{1}{29}\)-\(\frac{1}{58}\))=
174 x (1 + (\(\frac{2}{58}\)- \(\frac{1}{58}\))) x 3 =
174 x (1 + \(\frac{1}{58}\)) =
174 + 174 x \(\frac{1}{58}\)=
174 + 3 = 177
\(58.\left(3\frac{1}{29}-2\frac{1}{58}\right):\frac{1}{3}\)
\(=58.\left(3\frac{2}{58}-2\frac{1}{58}\right).3\)
\(=58.\left[\left(3-2\right)+\left(\frac{2}{58}-\frac{1}{58}\right)\right].3\)
\(=58.\left[1+\frac{1}{58}\right].3\)
\(=58.\frac{59}{58}.3\)
\(=59.3\)
\(=177\)
Chúc bạn học tốt !!!

195 :45 -60 :45 =(195-60):45 = 135 :60 =3
40:24+8:24=(40+8):24=48:24 =2
705 :45 -336 :45 = (705-336):45 = 369 :45 = 41/5
195 : 45 - 60 : 45
= (195-60):45
=135:45
=3
40 : 24 + 8 : 24
= (40+8) : 24
= 48:24
=2
705 : 45 - 336 : 45
=(705-336):45
=369:45
=8,2

Bài giải:
Câu 1: a, \(\left(-2\right).4.5.38.\left(-25\right)\)
\(=\left[\left(-2\right).5\right].\left[4.\left(-25\right)\right].38\)
\(=\left(-10\right).\left(-100\right).38\)
\(=1000.38=38000\)
b,\(\frac{1}{3}+\frac{3}{8}-\frac{7}{12}\)
\(=\left(\frac{1}{3}+\frac{3}{8}\right)-\frac{7}{12}\)
\(=\frac{17}{24}-\frac{7}{12}=\frac{1}{8}\)
c, \(\frac{-5}{8}.\frac{5}{12}+\frac{-5}{8}.\frac{7}{12}+2\frac{1}{8}\)
\(=\frac{-5}{8}.\left(\frac{5}{12}+\frac{7}{12}\right)+\frac{17}{8}\)
\(=\frac{-5}{8}.1+\frac{17}{8}\)
\(=\frac{3}{2}\)
Câu 2: a, \(x-\frac{2}{5}=0,24\)
\(x-0,4=0,24\)
\(x=0,24+0,4\)
\(\Rightarrow x=0,64\left(\frac{16}{25}\right)\)
b,\(\frac{2}{3}.x+\frac{1}{12}=\frac{1}{10}\)
\(\frac{2}{3}.x=\frac{1}{10}-\frac{1}{12}\)
\(\frac{2}{3}.x=\frac{1}{60}\)
\(x=\frac{1}{60}:\frac{2}{3}\)
\(\Rightarrow x=\frac{1}{40}\)
c, \(\left(3\frac{1}{2}-2x\right).1\frac{1}{3}=7\frac{1}{3}\)
\(\frac{7}{2}-2x=\frac{22}{3}:\frac{4}{3}\)
\(\frac{7}{2}-2x=\frac{11}{2}\)
\(2x=\frac{7}{2}-\frac{11}{2}\)
\(2x=-2\)
\(\Rightarrow x=-2:2\)
\(x=-1\)

b)
=159.18-159.59-59.18+59.159
=159.18-59.18
=18.(159-59)
=18.100
=1800

Giải:
58.(3\(\frac{1}{29}\) - 2\(\frac18\))
= 58.(\(\frac{88}{29}\) - \(\frac{17}{8}\))
= 58.\(\frac{88}{29}\) - 58.\(\frac{17}{8}\)
= 176 - \(\frac{493}{4}\)
= \(\frac{704}{4}\) - \(\frac{493}{4}\)
= \(\frac{211}{4}\)
\(\left(\frac{37}{2}+\frac{43}{8}-\frac{173}{24}\right):\frac{50}{3}\)
\(=\left(\frac{444}{24}+\frac{129}{24}-\frac{173}{24}\right).\frac{3}{50}\)
\(=\frac{400}{24}.\frac{3}{50}\)
= 1
Chúc bạn làm bài tốt
Hỗn số phải ghi thế này chứ
c)\(\left(18\frac{1}{2}+5\frac{3}{8}-7\frac{5}{24}\right):16\frac{2}{3}\)
\(=\frac{50}{3}:\frac{50}{3}\)
\(=1\)